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Finding the Third Proportional to 105,947 and 228,699

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Solution

The third proportional to 105,947 and 228,699 is: 493,673.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,947 : 228,699 = 228,699 : x
  2. Step 2: Convert to fraction form
    105,947/228,699 = 228,699/x
  3. Step 3: Cross multiply
    105,947x = 228,699 × 228,699
  4. Step 4: Simplify right side
    105,947x = 52,303,232,601
  5. Step 5: Solve for x
    x = 52,303,232,601/105,947
  6. Step 6: Final answer
    x = 493,673.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.